The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 14  2  1  1  8  1  1  1  4  1 10  1  1  1  6  1  0  1  1  1  1  1  1  1  1 10  1  4 14  8 12  1  6  1  1  1  2  1  6  6  1  1  0  0
 0  1 11  6 13  1 12  7  1 10  1  1  1  8  3  1  5 14 15  1  4  1  2  9 10  1  5  1  8 11  9  7  3 13  6  4  1  6  1  1  1  1 12  1 10 14  2  4 15  1  1  1  1  1  2
 0  0 12  0  4  0  0  4  8  8  4 12 12  4  8  4  8  4  0  4  4  8  4  0  0  0  8  8 12  4  0 12  0 12  8 12  8  0  4  4  4  8  0  0  8 12 12  4  8  4  8 12 12  8  0
 0  0  0  8  0  0  0  0  8  0  8  8  0  8  8  0  0  8  0  8  0  0  0  8  8  8  8  8  8  8  0  8  8  0  0  8  0  0  0  0  8  0  0  0  8  8  0  0  8  8  0  0  8  0  0
 0  0  0  0  8  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  8  0  8  8  0  8  0  0  8  8  8  8  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  8  8  0  0  0  0  0
 0  0  0  0  0  8  0  8  0  8  8  0  0  0  8  8  8  0  0  8  8  0  0  0  8  8  0  0  0  8  8  0  8  8  0  8  0  8  8  8  0  8  0  0  8  8  8  8  0  0  0  0  0  8  8
 0  0  0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  8  8  8  0  8  0  8  0  8  8  8  8  8  8  8  0  0  8  0  0  8  0  0  8  0  0  8  8  0  8  0  0  8  8  8  0

generates a code of length 55 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+115x^48+108x^49+500x^50+660x^51+1334x^52+1780x^53+2426x^54+2588x^55+2468x^56+1812x^57+1274x^58+588x^59+450x^60+140x^61+66x^62+4x^63+28x^64+18x^66+16x^68+4x^70+4x^72

The gray image is a code over GF(2) with n=440, k=14 and d=192.
This code was found by Heurico 1.16 in 3.08 seconds.